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Finding the Fourth Proportional to 13,256.38, 18,309.96 and 9,914.04

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Solution

The fourth proportional to 13,256.38, 18,309.96 and 9,914.04 is: 13,693.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,256.38 : 18,309.96 = 9,914.04 : x
  2. Step 2: Convert to fraction form
    13,256.38/18,309.96 = 9,914.04/x
  3. Step 3: Cross multiply
    13,256.38x = 18,309.96 × 9,914.04
  4. Step 4: Simplify right side
    13,256.38x = 181,525,675.84
  5. Step 5: Solve for x
    x = 181,525,675.84/13,256.38
  6. Step 6: Final answer
    x = 13,693.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.